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Finding the Third Proportional to 141,995 and 306,184

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Solution

The third proportional to 141,995 and 306,184 is: 660,224.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,995 : 306,184 = 306,184 : x
  2. Step 2: Convert to fraction form
    141,995/306,184 = 306,184/x
  3. Step 3: Cross multiply
    141,995x = 306,184 × 306,184
  4. Step 4: Simplify right side
    141,995x = 93,748,641,856
  5. Step 5: Solve for x
    x = 93,748,641,856/141,995
  6. Step 6: Final answer
    x = 660,224.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.